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Finding the Fourth Proportional to 131.66, 180.26 and 131.20

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Solution

The fourth proportional to 131.66, 180.26 and 131.20 is: 179.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.66 : 180.26 = 131.20 : x
  2. Step 2: Convert to fraction form
    131.66/180.26 = 131.20/x
  3. Step 3: Cross multiply
    131.66x = 180.26 × 131.20
  4. Step 4: Simplify right side
    131.66x = 23,650.11
  5. Step 5: Solve for x
    x = 23,650.11/131.66
  6. Step 6: Final answer
    x = 179.63

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.